The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

An encompassing socio-historical survey of the political and sociological nature of groups, communities and societies. A transdisciplinary study of crowds, masses and groups as historical, sociological, psychological and psychosocial phenomena. A unique combination of sociology, psychoanalysis and group analysis in the study of social formations. An inquiry into the enigma of crowds and mass psychology with the history of group analytic and group relations' advances in England, especially the study of large groups in the research on group processes. A comprehensive presentation of the social unconscious theory in association with the study of large groups and the Incohesion theory as new group analytic tools for understanding contemporary crowds and masses. In today's world, flooded by social conflicts and polarizations and the mass impact of social media, this book enables the reader to map out the field of the unconscious life of crowds illuminating the darkness of twenty-first century collective movements.

Presenting diverse perspectives from eminent scholars and contemporary researchers, The Handbook of Impression Formation contextualizes current and future areas of research in the social psychology of impression formation within a rich historic framework. Affirming that impression formation is at the core of human experience, chapters explore how and why people form snap judgments about others and when those impressions update. They examine the processes through which people infer the reasons for the events they encounter, allowing people to plan for appropriate behavioral responses to social contexts. The research reviewed is informed by the foundational theory of unconscious automatic processes involved in making judgements of other people, pioneered by Professor Jim Uleman who contributes a chapter that suggests important new directions, and concludes the volume by reflecting on the state of the field more broadly. The book explores how certain attributes stimulate categorization, examining current issues around implicit bias, stereotypes, and social media. Chapters cover a range of approaches, featuring personal narratives, presentation of new data and discoveries, comprehensive literature reviews, and contemplations on where the field must go and what questions require focus for progress to be made, calling for even the most advanced scholars to contribute more to the collective investigation of impression formation. This fascinating work provides a solid foundation from which all researchers can build a new and unique program of research, and arms the reader with the intellectual tools they need to chart new theoretical territory and discover aspects of the human experience we have yet to even wonder about. It is essential reading for students and academics in social psychology, and the social sciences more broadly.

Presenting diverse perspectives from eminent scholars and contemporary researchers, The Handbook of Impression Formation contextualizes current and future areas of research in the social psychology of impression formation within a rich historic framework. Affirming that impression formation is at the core of human experience, chapters explore how and why people form snap judgments about others and when those impressions update. They examine the processes through which people infer the reasons for the events they encounter, allowing people to plan for appropriate behavioral responses to social contexts. The research reviewed is informed by the foundational theory of unconscious automatic processes involved in making judgements of other people, pioneered by Professor Jim Uleman who contributes a chapter that suggests important new directions, and concludes the volume by reflecting on the state of the field more broadly. The book explores how certain attributes stimulate categorization, examining current issues around implicit bias, stereotypes, and social media. Chapters cover a range of approaches, featuring personal narratives, presentation of new data and discoveries, comprehensive literature reviews, and contemplations on where the field must go and what questions require focus for progress to be made, calling for even the most advanced scholars to contribute more to the collective investigation of impression formation. This fascinating work provides a solid foundation from which all researchers can build a new and unique program of research, and arms the reader with the intellectual tools they need to chart new theoretical territory and discover aspects of the human experience we have yet to even wonder about. It is essential reading for students and academics in social psychology, and the social sciences more broadly.

Richly illustrated in attractive full-colour and contains pedagogical features such as essay questions, summary and key points, and further reading suggestions is supported by a fully updated companion website, featuring student resources including lecture recordings, multiple choice questions and useful web links, as well as PowerPoint slides for lecturers. The only dedicated textbook on social neuroscience providing a much needed resource for lecturers and students. Suitable for both undergraduate and postgraduate students in psychology and neuroscience from 2nd year to masters level. Relevant courses include social neuroscience, social cognitive neuroscience, the social mind, social cognition, human neuroscience, developmental social neuroscience, etc. The third edition will be updated to reflect the growing volume of evidence and theories in the field and will include additional content on the applications of social neuroscience, social influence, reproducibility issues, and computational approaches. The companion website will include a new test bank.

Can a sense of belonging increase life satisfaction? Why do we sometimes feel lonely? How can we sustain lasting human connections? The Psychology of Belonging explores why feeling like we belong is so important throughout our lives, from childhood to old age, irrespective of culture, race or geography. With its virtues and shortcomings, belonging to groups such as families, social groups, schools, workplaces and communities is fundamental to our identity and wellbeing, even in a time when technology has changed the way we connect with each other. In a world where loneliness and social isolation is on the rise, The Psychology of Belonging shows how meaningful connections can build a sense of belonging for all of us.

Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.

This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).

This book attempts to 'shake up' the current complacency around therapy and 'mental health' behaviours by putting therapy fully into context using Social Contextual Analysis; showing how changes to our social, discursive, and societal environments, rather than changes to an individual's 'mind', will reduce suffering from the 'mental health' behaviours. Guerin challenges many assumptions about both current therapy and psychology, and offers alternative approaches, synthesized from sociology, social anthropology, sociolinguistics, and elsewhere. The book provides a way of addressing the 'mental health' behaviours including actions, talking, thinking, and emotions, by taking people's external life situations into account, and not relying on an imagined 'internal source'. Guerin describes the broad contexts for current Western therapies, referring to social, discursive, cultural, societal, and economic contexts, and suggests that we need to research the components of therapies and stop treating therapies as units. He reframes different types of therapy away from their abstract jargons, offering an alternative approach grounded in our real social worlds, aligning with new thinking that challenges the traditional methods of therapy, and also providing a better framework for rethinking psychology itself. The book ultimately suggests more emphasis should be put on 'mental health' behaviours as arising from social issues including the modern contexts of extreme capitalism, excessive bureaucracy, weakened discursive communities, and changing forms of social relationships. Practical guidelines are provided for building the reimagined therapies into clinics and institutions where labelling and pathologizing the 'mental health' behaviours will no longer be needed. By putting 'mental health' behaviours and therapy into a naturalistic or ecological social sciences framework, this book will be practical and fascinating reading for professional therapists, counsellors, social workers, and mental health nurses, as well as academics interested in psychology and the social sciences more generally.

Psychology of Prejudice and Discrimination provides a comprehensive and compelling overview of what psychological theory and research have to say about the nature, causes, and reduction of prejudice and discrimination. It balances a detailed discussion of theories and selected research with applied examples that ensure the material is relevant to students. This edition has been thoroughly revised and updated and addresses several interlocking themes. It first looks at the nature of prejudice and discrimination, followed by a discussion of research methods. Next come the psychological underpinnings of prejudice: the nature of stereotypes, the conditions under which stereotypes influence responses to other people, contemporary theories of prejudice, and how individuals' values and belief systems are related to prejudice. Explored next are the development of prejudice in children and the social context of prejudice. The theme of discrimination is developed via discussions of the nature of discrimination, the experience of discrimination, and specific forms of discrimination, including gender, gender identity, sexual orientation, age, ability, and appearance. The concluding theme is the reduction of prejudice. The book is accompanied by a comprehensive website featuring an Instructor Manual that contains activities and tools to help with teaching a prejudice and discrimination course; PowerPoint slides for every chapter; and a Test Bank with short answer and multiple-choice exam questions for every chapter. This book is an essential companion for all students of prejudice and discrimination, including those in psychology, education, social work, business, communication studies, ethnic studies, and other disciplines. In addition to courses on prejudice and discrimination, this book will also appeal to those studying racism and diversity.

Based on extensive analysis of real-time, authentic crisis encounters collected in the UK and US, Crisis Talk: Negotiating with Individuals in Crisis sheds light on the relatively hidden world of communication between people in crisis and the professionals whose job it is to help them. The crisis situations explored in this book involve police hostage and crisis negotiators and emergency dispatchers interacting with individuals in crisis who threaten suicide or self-harm. The practitioners face various communicative challenges in these encounters, including managing strong emotions, resistance, hostility, and unresponsiveness. Using conversation analysis, Crisis Talk presents evidence on how practitioners deal with the interactional challenge of negotiating with people in crisis and how what they say shapes outcomes. Each chapter includes recommendations based on the detailed analysis of numerous cases of actual negotiation. Crisis Talk shows readers how every turn taken by negotiators can exacerbate or solve the communicative challenges created by crisis situations, making it a unique and invaluable text for academics in psychology, sociology, linguistic sciences, and related fields, as well as for practitioners engaging in crisis negotiation training or fieldwork.

Based on extensive analysis of real-time, authentic crisis encounters collected in the UK and US, Crisis Talk: Negotiating with Individuals in Crisis sheds light on the relatively hidden world of communication between people in crisis and the professionals whose job it is to help them. The crisis situations explored in this book involve police hostage and crisis negotiators and emergency dispatchers interacting with individuals in crisis who threaten suicide or self-harm. The practitioners face various communicative challenges in these encounters, including managing strong emotions, resistance, hostility, and unresponsiveness. Using conversation analysis, Crisis Talk presents evidence on how practitioners deal with the interactional challenge of negotiating with people in crisis and how what they say shapes outcomes. Each chapter includes recommendations based on the detailed analysis of numerous cases of actual negotiation. Crisis Talk shows readers how every turn taken by negotiators can exacerbate or solve the communicative challenges created by crisis situations, making it a unique and invaluable text for academics in psychology, sociology, linguistic sciences, and related fields, as well as for practitioners engaging in crisis negotiation training or fieldwork.

This new text offers a student-centered approach. It presents groups first approach, offers flexibility, and is aimed at both a one- and two-semester course. The primary difference from key competitors is level and organization. There are many AA texts, offering a wide-range of levels, and this text is written to the precise middle of the market. Abstract Algebra is taught at every four-year university and college throughout the world. It is a course typically required of mathematics majors, yet also of those planning on becoming teachers. The groups-first approach is the most popular.

Everyday Applications of Psychological Science explores several core areas of psychology, showing readers how to apply these principles to everyday situations in order to better their understanding of human behavior and improve their quality of life. The authors of this book, who are award-winning educators of psychology, have culled and collated the best practical research-based advice that psychological science can offer in an easy-to-read and digestible format. Lively and peppered with anecdotes, this book explores topical areas normally found in introductory psychology books but do so in a way that makes psychological science practical, accessible, and relevant to our readers. In Everyday Applications of Psychological Science, the best science that psychology has to offer is translated into life hacks that are applicable to improving readers' physical health, mental health, psychological wealth, relationships, and happiness. Everyday Applications of Psychological Science is vital reading for those interested in learning more about the field of psychology more generally and how aspects of it can be applied to daily life. Our approach may be of particular interest to current and prospective undergraduate students of psychology and those interested in learning more about mental health issues.

Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation."

This book explores welfare politics, unemployment, and interventions in relation to the labour market from a critical psychological perspective. Using critical fieldwork and theory, the author explores the administration of the unemployed, and the drive to increase labour market participation through strategies of activation. There is a strong and coherent conceptual and theoretical framing for this work, with a critical perspective (essentially, question everything) taking centre stage. It will give an overall coherence in addressing the topic. The theoretical framing is cogent and, in combination with the critical perspective, works well for integrating the material and delivering a fresh approach to this topic. Psychology, Punitive Activation and Welfare will appeal to students engaging with critical psychology, unemployment or policy, by providing a distinct application of theoretical and methodological tools to think differently about the relationship between labour market non/participation, human misery, psychology, and frontline enactment of policy and research.

This book explores welfare politics, unemployment, and interventions in relation to the labour market from a critical psychological perspective. Using critical fieldwork and theory, the author explores the administration of the unemployed, and the drive to increase labour market participation through strategies of activation. There is a strong and coherent conceptual and theoretical framing for this work, with a critical perspective (essentially, question everything) taking centre stage. It will give an overall coherence in addressing the topic. The theoretical framing is cogent and, in combination with the critical perspective, works well for integrating the material and delivering a fresh approach to this topic. Psychology, Punitive Activation and Welfare will appeal to students engaging with critical psychology, unemployment or policy, by providing a distinct application of theoretical and methodological tools to think differently about the relationship between labour market non/participation, human misery, psychology, and frontline enactment of policy and research.

James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received hi Ph.D. from Yale University if 1966. In 1972, Springer-Verlag published his first book, "Introduction to Lie Algebras and Representation Theory" (graduate Texts in Mathematics Vol. 9).

This edited volume brings together the latest research in understanding the nature, origins, and evolution of human sociability, one of the most intriguing aspects of human psychology. Sociability-our sophisticated ability to interact with others, imagine, plan, and execute interdependent behaviours-lies at the heart of our evolutionary success, and is the most important prerequisite for the development of increasingly elaborate civilizations. With contributions from internationally renowned researchers in areas of social psychology as well as anthropology and evolutionary psychology, this book demonstrates the role of social psychology in explaining how human sociability evolved, how it shapes our mental and emotional lives, and how it influences both large-scale civilizational practices and intimate interpersonal relations. Chapters cover the core psychological characteristics that shape human sociability, including such phenomena as the role of information exchange, affective processes, social norms, power relations, personal relationships, attachment patterns, personality characteristics, and evolutionary pressures. Featuring a wide variety of empirical and theoretical backgrounds, the book will be of interest to students and researchers in all areas of the social sciences, as well as practitioners and applied professionals who deal with issues related to sociability in their daily lives.

This edited volume brings together the latest research in understanding the nature, origins, and evolution of human sociability, one of the most intriguing aspects of human psychology. Sociability-our sophisticated ability to interact with others, imagine, plan, and execute interdependent behaviours-lies at the heart of our evolutionary success, and is the most important prerequisite for the development of increasingly elaborate civilizations. With contributions from internationally renowned researchers in areas of social psychology as well as anthropology and evolutionary psychology, this book demonstrates the role of social psychology in explaining how human sociability evolved, how it shapes our mental and emotional lives, and how it influences both large-scale civilizational practices and intimate interpersonal relations. Chapters cover the core psychological characteristics that shape human sociability, including such phenomena as the role of information exchange, affective processes, social norms, power relations, personal relationships, attachment patterns, personality characteristics, and evolutionary pressures. Featuring a wide variety of empirical and theoretical backgrounds, the book will be of interest to students and researchers in all areas of the social sciences, as well as practitioners and applied professionals who deal with issues related to sociability in their daily lives.

This book offers a timely exploration of our patterns of engagement with politics, news, and information in current high-choice information environments It analyzes the issue plaguing our society today - The spread of misinformation and its impact on the public sphere, our politics and our everyday lives The book offers insights into the processes that influence the supply of misinformation and factors influencing how and why people expose themselves to and process information that may support or contradict their beliefs and attitudes A team of authors from across a range of disciplines address the phenomena of knowledge resistance and its causes and consequences at the macro- as well as the micro-level The chapters take a philosophical look at the notion of knowledge resistance, before moving on to discuss issues such as misinformation and fake news, psychological mechanisms such as motivated reasoning in processes of selective exposure and attention, how people respond to evidence and fact-checking, the role of political partisanship, political polarization over factual beliefs, and how knowledge resistance might be counteracted This book will have a broad appeal to scholars and students interested in knowledge resistance, primarily within philosophy, psychology, media and communication, and political science, as well as journalists and policymakers

Introduction to Political Psychology explores the many psychological patterns that influence individual political behavior. The authors introduce readers to a broad range of theories, concepts, and case studies of political activity, arguing that individuals are driven or motivated to act in accordance with personality characteristics, values, beliefs, and attachments to groups. The book explains many aspects of political behavior-whether seemingly pathological actions or normal decision-making practices, which sometimes work optimally, and sometimes fail. Thoroughly updated throughout, the book examines patterns of political behavior in areas including leadership, group behavior, voting, race, nationalism, terrorism, and war. This edition features coverage of the 2016 election and profiles former U.S. President Donald Trump, while also including updated data on race relations and extremist groups in the United States. Global issues are also considered, with case studies focused on Myanmar and Syria, alongside coverage of social issues including Black Lives Matter and the #MeToo movement. Accessibly written and comprehensive in scope, it is an essential companion for all graduate and upper-level undergraduate students of psychology, political science, and political psychology. It will also be of interest to those in the policy-making community, especially those looking to learn more about the extent to which perceptions, personality, and group dynamics affect the policy-making arena. It is accompanied by a set of online instructor resources.

Preventing Harmful Behaviour in Online Communities explores the ethics and logistics of censoring problematic communications online that might encourage a person to engage in harmful behaviour. Using an approach based on theories of digital rhetoric and close primary source analysis, Zoe Alderton draws on group dynamics research in relation to the way in which some online communities foster negative and destructive ideas, encouraging community members to engage in practices including self-harm, disordered eating, and suicide. This book offers insight into the dangerous gap between the clinical community and caregivers versus the pro-anorexia and pro-self-harm communities - allowing caregivers or medical professionals to understand hidden online communities young people in their care may be part of. It delves into the often-unanticipated needs of those who band together to resist the healthcare community, suggesting practical ways to address their concerns and encourage healing. Chapters investigate the alarming ease with which ideas of self-harm can infect people through personal contact, community unease, or even fiction and song and the potential of the internet to transmit self-harmful ideas across countries and even periods of time. The book also outlines the real nature of harm-based communities online, examining both their appeal and dangers, while also examining self-censorship and intervention methods for dealing with harmful content online. Rather than pointing to punishment or censorship as best practice, the book offers constructive guidelines that outline a more holistic approach based on the validity of expressing negative mood and the creation of safe peer support networks, making it ideal reading for professionals protecting vulnerable people, as well as students and academics in psychology, mental health, and social care.

This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.